Answer:
multiply both sides by 8 then divide by -3
or in one step divide both sides by (-3/8) which is the same as multiplying by
(-8/3)...
-3p = 72
p = -24
Step-by-step explanation:
Step-by-step explanation:

Here's the formula for exponential decay:

(where A = new amount, p = principal (starting) amount, k = rate of decay, and t = time)
Let's use what we know and fill in the expression.

And now we solve for t.
5 divided by 1/4 is 20, so he will have 20 pieces of 1/4 meter twine
Answer:
a) 0.6032
b)
Lower limit: 0.48
Upper limit: 0.72
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of
, and a confidence level of
, we have the following confidence interval of proportions.

In which
z is the zscore that has a pvalue of
.
Question a:
In a random sample of 63 professional actors, it was found that 38 were extroverts.
We use this to find the sample proportion, which is the point estimate for p. So

Question b:
Sample of 63 means that 
95% confidence level
So
, z is the value of Z that has a pvalue of
, so
.
The lower limit of this interval is:

The upper limit of this interval is:

Rounding to two decimal places:
Lower limit: 0.48
Upper limit: 0.72